A new friction law for sliding rigid blocks under cyclic loading

Abstract A rigid block sliding down an inclined plane under the action of gravity was monitored with accelerometers and an LVDT to investigate how the transition from static to kinetic friction develops. Once the transition patterns were identified, experiments were carried out to study the response of a dynamically excited rigid block sliding down the inclined plane of a shaking table. Harmonic time series were used as input motions. The laboratory results allowed the definition of a continuous friction law to model the continuous variation of the friction from its static to kinetic condition. This law was implemented into the commercial 3D distinct element code 3DEC to numerically reproduce the experiments carried out, thus validating the friction law. Afterwards, the friction law was used to evaluate the sliding due to the kinetics of the block. Three cases were analyzed: constant friction coefficient, Coulomb friction law and the proposed friction law. These computations were compared to laboratory measurements. It is found that permanent displacements computed by considering the new law are in better agreement with laboratory measurements.

[1]  Jonathan D. Bray,et al.  NONLINEAR COUPLED SEISMIC SLIDING ANALYSIS OF EARTH STRUCTURES , 2000 .

[2]  H. Bolton Seed,et al.  THE SEISMIC COEFFICIENT IN EARTH DAM DESIGN , 1966 .

[3]  Tara C. Hutchinson,et al.  Characterizing frictional behavior for use in predicting the seismic response of unattached equipment , 2005 .

[4]  Andrei M. Reinhorn,et al.  Teflon Bearings in Base Isolation II: Modeling , 1990 .

[5]  P. Casini,et al.  Dynamics of friction oscillators excited by a moving base and/or driving force , 2001 .

[6]  Jonathan D. Bray,et al.  INCLINED PLANE STUDIES OF THE NEWMARK SLIDING BLOCK PROCEDURE , 2003 .

[7]  Jan-Eric Ståhl,et al.  Static and Dynamic Friction Processes Under the Influence of external Vibrations , 1992 .

[8]  C. Marone.  LABORATORY-DERIVED FRICTION LAWS AND THEIR APPLICATION TO SEISMIC FAULTING , 1998 .

[9]  Ted Nicholas,et al.  Limitations of the Coulomb friction assumption in fretting fatigue analysis , 2003 .

[10]  Michael C. Constantinou,et al.  Frictional characteristics of Teflon–steel interfaces under dynamic conditions , 1987 .

[11]  A. M. Lahlaf,et al.  Dynamic Interface Shear Strength Properties of Geomembranes and Geotextiles , 1992 .

[12]  M. P. Romo.  Earthquake-induced slope displacements , 2003 .

[13]  W. Lenkiewicz.  The sliding friction process—effect of external vibrations , 1969 .

[14]  M. Hirano.  Superlubricity: a state of vanishing friction , 2003 .

[15]  M. K. Yegian,et al.  Foundation isolation for seismic protection using a smooth synthetic liner , 2004 .

[16]  E. Rabinowicz.  The Nature of the Static and Kinetic Coefficients of Friction , 1951 .

[17]  M. Grigoriu,et al.  Static and Kinetic Coefficients of Friction for Rigid Blocks , 2006 .

[18]  Hoe I. Ling.  Recent applications of sliding block theory to geotechnical design , 2001 .

[19]  D. M. Tolstoĭ.  Significance of the normal degree of freedom and natural normal vibrations in contact friction , 1967 .

[20]  Steven L. Kramer,et al.  MODIFIED NEWMARK MODEL FOR SEISMIC DISPLACEMENTS OF COMPLIANT SLOPES , 1997 .